Question

Aricela is trying to estimate the distance between her house and the park. On a map with a scale of 0.5 in. = 2 miles, the distance between her house and the park is 2.75 in. Which proportion can Aricela use to determine the distance, d, between her house and the park?

Answer 1

We have to find the proportion Aricela can use to determine the distance between her house and the park. We know that on a map the scale is: 0.5 in = 2 miles and the distance between the house and the park on the map is 2.75 in. The proportion is: 0.5 in / 2 miles = 2.75 in / d miles. After that we can cross mukltiply: 0.5 d = 5.5 miles. d = 5.5 : 0.5 = 11 miles. Answer: This proportion is: 0.5 in / 2 miles = 2.75 in / d miles.

Answer 2

The Answer Is: A) 0.5/2.75  =  2/d

Because to determine the distance between her house and the park, Aricela can use the proportion:  

0.5 /2.75  =  2 /d

. The distance on the map for 2 miles (0.5 in.) corresponds with the distance on the map between Aricela’s house and the park (2.75 inches) and the scaled distance (2 miles) corresponds to the actual distance between Aricela’s house and the park (d).